Part One: Probability

A Fair Three-sided Die

In a probability/statistics setting, the term "fair" usually refers to an experiment or process with equally likely basic outcomes.

Suppose we have a fair, three-sided die - for our purposes, we have a fair, six sided die with two "1" faces, two "2" faces and two "3" faces.

We can summarize this die in a simple table:

Face Value

Number of Faces on Die

Odds/Proportion for Face Value

1

2

2:6 or (2/6) or (1/3) or 33.33%

2

2

2:6 or (2/6) or (1/3) or 33.33%

3

2

2:6 or (2/6) or (1/3) or 33.33%

Total

6

6:6 or (6/6) or 1 or 100%

In long runs of tosses of our die, approximately 2 out of every 6 tosses will show the "1" face.

In long runs of tosses of our die, approximately 2 out of every 6 tosses will show the "2" face.

In long runs of tosses of our die, approximately 2 out of every 6 tosses will show the "3" face.